!-------------------------------------------------------------------------------------------------- ! $Id$ !-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief material subroutine for isotropic (J2) plasticity !> @details Isotropic (J2) Plasticity which resembles the phenopowerlaw plasticity without !! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an !! untextured polycrystal !-------------------------------------------------------------------------------------------------- module constitutive_j2 #ifdef HDF use hdf5, only: & HID_T #endif use prec, only: & pReal,& pInt implicit none private integer(pInt), dimension(:), allocatable, public, protected :: & constitutive_j2_sizeDotState, & !< number of dotStates constitutive_j2_sizeState, & !< total number of microstructural variables constitutive_j2_sizePostResults !< cumulative size of post results integer(pInt), dimension(:,:), allocatable, target, public :: & constitutive_j2_sizePostResult !< size of each post result output character(len=64), dimension(:,:), allocatable, target, public :: & constitutive_j2_output !< name of each post result output integer(pInt), dimension(:), allocatable, private :: & constitutive_j2_Noutput !< number of outputs per instance real(pReal), dimension(:), allocatable, private :: & constitutive_j2_fTaylor, & !< Taylor factor constitutive_j2_tau0, & !< initial plastic stress constitutive_j2_gdot0, & !< reference velocity constitutive_j2_n, & !< Visco-plastic parameter !-------------------------------------------------------------------------------------------------- ! h0 as function of h0 = A + B log (gammadot) constitutive_j2_h0, & constitutive_j2_h0_slopeLnRate, & constitutive_j2_tausat, & !< final plastic stress constitutive_j2_a, & constitutive_j2_aTolResistance, & !-------------------------------------------------------------------------------------------------- ! tausat += (asinh((gammadot / SinhFitA)**(1 / SinhFitD)))**(1 / SinhFitC) / (SinhFitB * (gammadot / gammadot0)**(1/n)) constitutive_j2_tausat_SinhFitA, & !< fitting parameter for normalized strain rate vs. stress function constitutive_j2_tausat_SinhFitB, & !< fitting parameter for normalized strain rate vs. stress function constitutive_j2_tausat_SinhFitC, & !< fitting parameter for normalized strain rate vs. stress function constitutive_j2_tausat_SinhFitD !< fitting parameter for normalized strain rate vs. stress function enum, bind(c) enumerator :: undefined_ID, & flowstress_ID, & strainrate_ID end enum integer(kind(undefined_ID)), dimension(:,:), allocatable, private :: & constitutive_j2_outputID !< ID of each post result output #ifdef HDF type constitutive_j2_tOutput real(pReal), dimension(:), allocatable, private :: & flowstress, & strainrate logical :: flowstressActive = .false., strainrateActive = .false. ! if we can write the output block wise, this is not needed anymore because we can do an if(allocated(xxx)) end type constitutive_j2_tOutput type(constitutive_j2_tOutput), allocatable, dimension(:) :: constitutive_j2_Output2 integer(HID_T), allocatable, dimension(:) :: outID #endif public :: & constitutive_j2_init, & constitutive_j2_stateInit, & constitutive_j2_aTolState, & constitutive_j2_LpAndItsTangent, & constitutive_j2_dotState, & #ifdef HDF constitutive_j2_postResults2, & #endif constitutive_j2_postResults contains !-------------------------------------------------------------------------------------------------- !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- subroutine constitutive_j2_init(fileUnit) use, intrinsic :: iso_fortran_env ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment) #ifdef HDF use hdf5 #endif use debug, only: & debug_level, & debug_constitutive, & debug_levelBasic use numerics, only: & numerics_integrator use math, only: & math_Mandel3333to66, & math_Voigt66to3333 use IO, only: & IO_read, & IO_lc, & IO_getTag, & IO_isBlank, & IO_stringPos, & IO_stringValue, & IO_floatValue, & IO_error, & IO_timeStamp, & #ifdef HDF tempResults, & HDF5_addGroup, & HDF5_addScalarDataset,& #endif IO_EOF use material, only: & homogenization_maxNgrains, & phase_plasticity, & phase_plasticityInstance, & phase_Noutput, & PLASTICITY_J2_label, & PLASTICITY_J2_ID, & material_phase, & #ifdef NEWSTATE plasticState, & #endif MATERIAL_partPhase use lattice implicit none integer(pInt), intent(in) :: fileUnit integer(pInt), parameter :: MAXNCHUNKS = 7_pInt integer(pInt), dimension(1_pInt+2_pInt*MAXNCHUNKS) :: positions integer(pInt) :: phase, maxNinstance, instance,o, mySize, myConstituents character(len=65536) :: & tag = '', & line = '' integer(pInt) :: NofMyPhase #ifdef HDF character(len=5) :: & str1 integer(HID_T) :: ID,ID2,ID4 #endif #ifdef NEWSTATE integer(pInt) :: sizeDotState,sizeState #endif write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_J2_label//' init -+>>>' write(6,'(a)') ' $Id$' write(6,'(a15,a)') ' Current time: ',IO_timeStamp() #include "compilation_info.f90" maxNinstance = int(count(phase_plasticity == PLASTICITY_J2_ID),pInt) if (maxNinstance == 0_pInt) return #ifdef HDF allocate(constitutive_j2_Output2(maxNinstance)) allocate(outID(maxNinstance)) #endif if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0_pInt) & write(6,'(a16,1x,i5,/)') '# instances:',maxNinstance allocate(constitutive_j2_sizeDotState(maxNinstance), source=1_pInt) allocate(constitutive_j2_sizeState(maxNinstance), source=1_pInt) allocate(constitutive_j2_sizePostResults(maxNinstance), source=0_pInt) allocate(constitutive_j2_sizePostResult(maxval(phase_Noutput), maxNinstance),source=0_pInt) allocate(constitutive_j2_output(maxval(phase_Noutput), maxNinstance)) constitutive_j2_output = '' allocate(constitutive_j2_outputID(maxval(phase_Noutput),maxNinstance), source=undefined_ID) allocate(constitutive_j2_Noutput(maxNinstance), source=0_pInt) allocate(constitutive_j2_fTaylor(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_tau0(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_gdot0(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_n(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_h0(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_h0_slopeLnRate(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_tausat(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_a(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_aTolResistance(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_tausat_SinhFitA(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_tausat_SinhFitB(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_tausat_SinhFitC(maxNinstance), source=0.0_pReal) allocate(constitutive_j2_tausat_SinhFitD(maxNinstance), source=0.0_pReal) rewind(fileUnit) phase = 0_pInt do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= material_partPhase) ! wind forward to line = IO_read(fileUnit) enddo parsingFile: do while (trim(line) /= IO_EOF) ! read through sections of phase part line = IO_read(fileUnit) if (IO_isBlank(line)) cycle ! skip empty lines if (IO_getTag(line,'<','>') /= '') then ! stop at next part line = IO_read(fileUnit, .true.) ! reset IO_read exit endif if (IO_getTag(line,'[',']') /= '') then ! next section myConstituents = 0_pInt phase = phase + 1_pInt ! advance section counter if (phase_plasticity(phase) == PLASTICITY_J2_ID) then instance = phase_plasticityInstance(phase) myConstituents = count(material_phase==phase) #ifdef HDF outID(instance)=HDF5_addGroup(str1,tempResults) #endif endif cycle ! skip to next line endif if (myConstituents > 0_pInt ) then instance = phase_plasticityInstance(phase) ! which instance of my plasticity is present phase positions = IO_stringPos(line,MAXNCHUNKS) tag = IO_lc(IO_stringValue(line,positions,1_pInt)) ! extract key select case(tag) case ('plasticity','elasticity','lattice_structure', & 'covera_ratio','c/a_ratio','c/a', & 'c11','c12','c13','c22','c23','c33','c44','c55','c66') case ('(output)') constitutive_j2_Noutput(instance) = constitutive_j2_Noutput(instance) + 1_pInt constitutive_j2_output(constitutive_j2_Noutput(instance),instance) = & IO_lc(IO_stringValue(line,positions,2_pInt)) select case(IO_lc(IO_stringValue(line,positions,2_pInt))) case ('flowstress') constitutive_j2_outputID(constitutive_j2_Noutput(instance),instance) = flowstress_ID #ifdef HDF call HDF5_addScalarDataset(outID(instance),myConstituents,'flowstress','MPa') allocate(constitutive_j2_Output2(instance)%flowstress(myConstituents)) constitutive_j2_Output2(instance)%flowstressActive = .true. #endif case ('strainrate') constitutive_j2_outputID(constitutive_j2_Noutput(instance),instance) = strainrate_ID #ifdef HDF call HDF5_addScalarDataset(outID(instance),myConstituents,'strainrate','1/s') allocate(constitutive_j2_Output2(instance)%strainrate(myConstituents)) constitutive_j2_Output2(instance)%strainrateActive = .true. #endif case default call IO_error(105_pInt,ext_msg=IO_stringValue(line,positions,2_pInt)//' ('//PLASTICITY_J2_label//')') end select case ('tau0') constitutive_j2_tau0(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_tau0(instance) < 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('gdot0') constitutive_j2_gdot0(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_gdot0(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('n') constitutive_j2_n(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_n(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('h0') constitutive_j2_h0(instance) = IO_floatValue(line,positions,2_pInt) case ('h0_slope','slopelnrate') constitutive_j2_h0_slopeLnRate(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat') constitutive_j2_tausat(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_tausat(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('tausat_sinhfita') constitutive_j2_tausat_SinhFitA(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat_sinhfitb') constitutive_j2_tausat_SinhFitB(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat_sinhfitc') constitutive_j2_tausat_SinhFitC(instance) = IO_floatValue(line,positions,2_pInt) case ('tausat_sinhfitd') constitutive_j2_tausat_SinhFitD(instance) = IO_floatValue(line,positions,2_pInt) case ('a', 'w0') constitutive_j2_a(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_a(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('taylorfactor') constitutive_j2_fTaylor(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_fTaylor(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case ('atol_resistance') constitutive_j2_aTolResistance(instance) = IO_floatValue(line,positions,2_pInt) if (constitutive_j2_aTolResistance(instance) <= 0.0_pReal) & call IO_error(211_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') case default call IO_error(210_pInt,ext_msg=trim(tag)//' ('//PLASTICITY_J2_label//')') end select endif enddo parsingFile initializeInstances: do phase = 1_pInt, size(phase_plasticity) NofMyPhase=count(material_phase==phase) if (phase_plasticity(phase) == PLASTICITY_j2_ID .and. NofMyPhase/=0) then instance = phase_plasticityInstance(phase) outputsLoop: do o = 1_pInt,constitutive_j2_Noutput(instance) select case(constitutive_j2_outputID(o,instance)) case(flowstress_ID,strainrate_ID) mySize = 1_pInt case default end select if (mySize > 0_pInt) then ! any meaningful output found constitutive_j2_sizePostResult(o,instance) = mySize constitutive_j2_sizePostResults(instance) = & constitutive_j2_sizePostResults(instance) + mySize endif enddo outputsLoop #ifdef NEWSTATE sizeDotState = constitutive_j2_sizeDotState(instance) sizeState = constitutive_j2_sizeState(instance) allocate(plasticState(phase)%state0 (sizeState,NofMyPhase),source=constitutive_j2_tau0(instance)) allocate(plasticState(phase)%partionedState0(sizeState,NofMyPhase),source=constitutive_j2_tau0(instance)) allocate(plasticState(phase)%subState0 (sizeState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%state (sizeState,NofMyPhase),source=constitutive_j2_tau0(instance)) allocate(plasticState(phase)%state_backup (sizeState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%aTolState (sizeState,NofMyPhase),source=constitutive_j2_aTolResistance(instance)) allocate(plasticState(phase)%dotState (sizeDotState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%deltaState (sizeDotState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%dotState_backup (sizeDotState,NofMyPhase),source=0.0_pReal) if (any(numerics_integrator == 1_pInt)) then allocate(plasticState(phase)%previousDotState (sizeDotState,NofMyPhase),source=0.0_pReal) allocate(plasticState(phase)%previousDotState2 (sizeDotState,NofMyPhase),source=0.0_pReal) endif if (any(numerics_integrator == 4_pInt)) & allocate(plasticState(phase)%RK4dotState (sizeDotState,NofMyPhase),source=0.0_pReal) if (any(numerics_integrator == 5_pInt)) & allocate(plasticState(phase)%RKCK45dotState (sizeDotState,NofMyPhase),source=0.0_pReal) #endif endif enddo initializeInstances end subroutine constitutive_j2_init !-------------------------------------------------------------------------------------------------- !> @brief sets the initial microstructural state for a given instance of this plasticity !> @details initial microstructural state is set to the value specified by tau0 ! not needed for new state !-------------------------------------------------------------------------------------------------- pure function constitutive_j2_stateInit(instance) implicit none real(pReal), dimension(1) :: constitutive_j2_stateInit integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity constitutive_j2_stateInit = constitutive_j2_tau0(instance) end function constitutive_j2_stateInit !-------------------------------------------------------------------------------------------------- !> @brief sets the relevant state values for a given instance of this plasticity ! not needed for new state !-------------------------------------------------------------------------------------------------- pure function constitutive_j2_aTolState(instance) implicit none real(pReal), dimension(1) :: constitutive_j2_aTolState integer(pInt), intent(in) :: instance !< number specifying the instance of the plasticity constitutive_j2_aTolState = constitutive_j2_aTolResistance(instance) end function constitutive_j2_aTolState !-------------------------------------------------------------------------------------------------- !> @brief calculates plastic velocity gradient and its tangent !-------------------------------------------------------------------------------------------------- pure subroutine constitutive_j2_LpAndItsTangent(Lp,dLp_dTstar99,Tstar_v,state,ipc,ip,el) use prec, only: & p_vec use math, only: & math_mul6x6, & math_Mandel6to33, & math_Plain3333to99, & math_deviatoric33, & math_mul33xx33 use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance implicit none real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient real(pReal), dimension(9,9), intent(out) :: & dLp_dTstar99 !< derivative of Lp with respect to 2nd Piola Kirchhoff stress real(pReal), dimension(6), intent(in) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(3,3) :: & Tstar_dev_33 !< deviatoric part of the 2nd Piola Kirchhoff stress tensor as 2nd order tensor real(pReal), dimension(3,3,3,3) :: & dLp_dTstar_3333 !< derivative of Lp with respect to Tstar as 4th order tensor real(pReal) :: & gamma_dot, & !< strainrate norm_Tstar_dev, & !< euclidean norm of Tstar_dev squarenorm_Tstar_dev !< square of the euclidean norm of Tstar_dev integer(pInt) :: & instance, & k, l, m, n instance = phase_plasticityInstance(material_phase(ipc,ip,el)) Tstar_dev_33 = math_deviatoric33(math_Mandel6to33(Tstar_v)) ! deviatoric part of 2nd Piola-Kirchhoff stress squarenorm_Tstar_dev = math_mul33xx33(Tstar_dev_33,Tstar_dev_33) norm_Tstar_dev = sqrt(squarenorm_Tstar_dev) if (norm_Tstar_dev <= 0.0_pReal) then ! Tstar == 0 --> both Lp and dLp_dTstar are zero Lp = 0.0_pReal dLp_dTstar99 = 0.0_pReal else gamma_dot = constitutive_j2_gdot0(instance) & * (sqrt(1.5_pReal) * norm_Tstar_dev / constitutive_j2_fTaylor(instance) / state%p(1)) & **constitutive_j2_n(instance) Lp = Tstar_dev_33/norm_Tstar_dev * gamma_dot/constitutive_j2_fTaylor(instance) !-------------------------------------------------------------------------------------------------- ! Calculation of the tangent of Lp forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt,m=1_pInt:3_pInt,n=1_pInt:3_pInt) & dLp_dTstar_3333(k,l,m,n) = (constitutive_j2_n(instance)-1.0_pReal) * & Tstar_dev_33(k,l)*Tstar_dev_33(m,n) / squarenorm_Tstar_dev forall (k=1_pInt:3_pInt,l=1_pInt:3_pInt) & dLp_dTstar_3333(k,l,k,l) = dLp_dTstar_3333(k,l,k,l) + 1.0_pReal forall (k=1_pInt:3_pInt,m=1_pInt:3_pInt) & dLp_dTstar_3333(k,k,m,m) = dLp_dTstar_3333(k,k,m,m) - 1.0_pReal/3.0_pReal dLp_dTstar99 = math_Plain3333to99(gamma_dot / constitutive_j2_fTaylor(instance) * & dLp_dTstar_3333 / norm_Tstar_dev) end if end subroutine constitutive_j2_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief calculates the rate of change of microstructure !-------------------------------------------------------------------------------------------------- pure function constitutive_j2_dotState(Tstar_v,state,ipc,ip,el) use prec, only: & p_vec use math, only: & math_mul6x6 use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance implicit none real(pReal), dimension(1) :: & constitutive_j2_dotState real(pReal), dimension(6), intent(in):: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(6) :: & Tstar_dev_v !< deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal) :: & gamma_dot, & !< strainrate hardening, & !< hardening coefficient saturation, & !< saturation resistance norm_Tstar_dev !< euclidean norm of Tstar_dev integer(pInt) :: & instance instance = phase_plasticityInstance(material_phase(ipc,ip,el)) !-------------------------------------------------------------------------------------------------- ! norm of deviatoric part of 2nd Piola-Kirchhoff stress Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal Tstar_dev_v(4:6) = Tstar_v(4:6) norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v)) !-------------------------------------------------------------------------------------------------- ! strain rate gamma_dot = constitutive_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev & / &!----------------------------------------------------------------------------------- (constitutive_j2_fTaylor(instance) * state%p(1)) ) ** constitutive_j2_n(instance) !-------------------------------------------------------------------------------------------------- ! hardening coefficient if (abs(gamma_dot) > 1e-12_pReal) then if (constitutive_j2_tausat_SinhFitA(instance) == 0.0_pReal) then saturation = constitutive_j2_tausat(instance) else saturation = ( constitutive_j2_tausat(instance) & + ( log( ( gamma_dot / constitutive_j2_tausat_SinhFitA(instance)& )**(1.0_pReal / constitutive_j2_tausat_SinhFitD(instance))& + sqrt( ( gamma_dot / constitutive_j2_tausat_SinhFitA(instance) & )**(2.0_pReal / constitutive_j2_tausat_SinhFitD(instance)) & + 1.0_pReal ) & ) & ! asinh(K) = ln(K + sqrt(K^2 +1)) )**(1.0_pReal / constitutive_j2_tausat_SinhFitC(instance)) & / ( constitutive_j2_tausat_SinhFitB(instance) & * (gamma_dot / constitutive_j2_gdot0(instance))**(1.0_pReal / constitutive_j2_n(instance)) & ) & ) endif hardening = ( constitutive_j2_h0(instance) + constitutive_j2_h0_slopeLnRate(instance) * log(gamma_dot) ) & * abs( 1.0_pReal - state%p(1)/saturation )**constitutive_j2_a(instance) & * sign(1.0_pReal, 1.0_pReal - state%p(1)/saturation) else hardening = 0.0_pReal endif constitutive_j2_dotState = hardening * gamma_dot end function constitutive_j2_dotState #ifdef HDF subroutine constitutive_j2_postResults2(Tstar_v,state,ipc,ip,el,offset) use prec, only: & p_vec use material, only: & material_phase, & phase_plasticityInstance use math, only: & math_mul6x6 implicit none real(pReal), dimension(6), intent(in) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el, & offset !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(6) :: & Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal) :: & norm_Tstar_dev ! euclidean norm of Tstar_dev integer(pInt) :: & instance instance = phase_plasticityInstance(material_phase(ipc,ip,el)) !-------------------------------------------------------------------------------------------------- ! calculate deviatoric part of 2nd Piola-Kirchhoff stress and its norm Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal Tstar_dev_v(4:6) = Tstar_v(4:6) norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v)) if(constitutive_j2_Output2(instance)%flowstressActive) & constitutive_j2_Output2(instance)%flowstress(offset) =state%p(1) if(constitutive_j2_Output2(instance)%strainrateActive) then constitutive_j2_Output2(instance)%strainrate(offset)= & constitutive_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev & / &!---------------------------------------------------------------------------------- (constitutive_j2_fTaylor(instance) * state%p(1)) ) ** constitutive_j2_n(instance) endif end subroutine constitutive_j2_postResults2 #endif !-------------------------------------------------------------------------------------------------- !> @brief return array of constitutive results !-------------------------------------------------------------------------------------------------- pure function constitutive_j2_postResults(Tstar_v,state,ipc,ip,el) use prec, only: & p_vec use math, only: & math_mul6x6 use mesh, only: & mesh_NcpElems, & mesh_maxNips use material, only: & homogenization_maxNgrains, & material_phase, & phase_plasticityInstance, & phase_Noutput implicit none real(pReal), dimension(6), intent(in) :: & Tstar_v !< 2nd Piola Kirchhoff stress tensor in Mandel notation integer(pInt), intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element type(p_vec), intent(in) :: & state !< microstructure state real(pReal), dimension(constitutive_j2_sizePostResults(phase_plasticityInstance(material_phase(ipc,ip,el)))) :: & constitutive_j2_postResults real(pReal), dimension(6) :: & Tstar_dev_v ! deviatoric part of the 2nd Piola Kirchhoff stress tensor in Mandel notation real(pReal) :: & norm_Tstar_dev ! euclidean norm of Tstar_dev integer(pInt) :: & instance, & o, & c instance = phase_plasticityInstance(material_phase(ipc,ip,el)) !-------------------------------------------------------------------------------------------------- ! calculate deviatoric part of 2nd Piola-Kirchhoff stress and its norm Tstar_dev_v(1:3) = Tstar_v(1:3) - sum(Tstar_v(1:3))/3.0_pReal Tstar_dev_v(4:6) = Tstar_v(4:6) norm_Tstar_dev = sqrt(math_mul6x6(Tstar_dev_v,Tstar_dev_v)) c = 0_pInt constitutive_j2_postResults = 0.0_pReal outputsLoop: do o = 1_pInt,phase_Noutput(material_phase(ipc,ip,el)) select case(constitutive_j2_outputID(o,instance)) case (flowstress_ID) constitutive_j2_postResults(c+1_pInt) = state%p(1) c = c + 1_pInt case (strainrate_ID) constitutive_j2_postResults(c+1_pInt) = & constitutive_j2_gdot0(instance) * ( sqrt(1.5_pReal) * norm_Tstar_dev & / &!---------------------------------------------------------------------------------- (constitutive_j2_fTaylor(instance) * state%p(1)) ) ** constitutive_j2_n(instance) c = c + 1_pInt end select enddo outputsLoop end function constitutive_j2_postResults end module constitutive_j2